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100132314243 = 31331121368279
BaseRepresentation
bin101110101000001011…
…0011101110010000011
3100120110101121121021020
41131100112131302003
53120032333023433
6114000011000523
710143241425213
oct1352026356203
9316411547236
10100132314243
1139514098815
12174a6139143
13959a0586b0
144bbc864243
152910b73cb3
hex175059dc83

100132314243 has 32 divisors (see below), whose sum is σ = 148542320640. Its totient is φ = 59582113920.

The previous prime is 100132314239. The next prime is 100132314281. The reversal of 100132314243 is 342413231001.

It is a happy number.

It is not a de Polignac number, because 100132314243 - 22 = 100132314239 is a prime.

It is a super-3 number, since 3×1001323142433 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100132314343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432378 + ... + 1500656.

It is an arithmetic number, because the mean of its divisors is an integer number (4641947520).

Almost surely, 2100132314243 is an apocalyptic number.

100132314243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100132314243 is a deficient number, since it is larger than the sum of its proper divisors (48410006397).

100132314243 is a wasteful number, since it uses less digits than its factorization.

100132314243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69539.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100132314243 its reverse (342413231001), we get a palindrome (442545545244).

The spelling of 100132314243 in words is "one hundred billion, one hundred thirty-two million, three hundred fourteen thousand, two hundred forty-three".

Divisors: 1 3 13 31 39 93 403 1209 1213 3639 15769 37603 47307 68279 112809 204837 488839 887627 1466517 2116649 2662881 6349947 27516437 82549311 82822427 248467281 1076691551 2567495237 3230074653 7702485711 33377438081 100132314243